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Uspekhi Fizicheskikh Nauk, 2022, Volume 192, Number 2, Pages 205–225
DOI: https://doi.org/10.3367/UFNr.2020.11.038875
(Mi ufn6919)
 

This article is cited in 3 scientific papers (total in 3 papers)

METHODOLOGICAL NOTES

Compressible vortex structures and their role in the onset of hydrodynamic turbulence

D. S. Agafontsevab, E. A. Kuznetsovcdb, A. A. Mailybaeve, E. V. Sereshchenkofb

a Shirshov Institute of Oceanology, Russian Academy of Sciences
b Skolkovo Institute of Science and Technology
c Lebedev Physical Institute of the Russian Academy of Sciences, Moscow
d Landau Institute for Theoretical Physics, Russian Academy of Sciences
e Instituto Nacional de Matemática Pura e Aplicada
f Khristianovich Institute of Theoretical and Applied Mechanics, Siberian Branch of the Russian Academy of Sciences, Novosibirsk
References:
Abstract: We study the formation of quasi-two-dimensional (thin pancake) vortex structures in three-dimensional flows and of quasi-one-dimensional structures in two-dimensional hydrodynamics. These structures are formed at large Reynolds numbers, when their evolution is described in the leading order by the Euler equations for an ideal incompressible fluid. We show numerically and analytically that the compression of these structures and, as a consequence, the increase in their amplitudes are due to the compressibility of the frozen-in-fluid fields: the field of continuously distributed vortex lines in the three-dimensional case and the field of vorticity rotor lines (divorticity) for two-dimensional flows. We find that the growth of vorticity and divorticity can be considered to be a process of overturning the corresponding fields. At high intensities, this process demonstrates a Kolmogorov-type scaling relating the maximum amplitude to the corresponding thicknesses-to-width ratio of the structures. The possible role of these coherent structures in the formation of the Kolmogorov turbulent spectrum, as well as in the Kraichnan spectrum corresponding to a constant flux of enstrophy in the case of two-dimensional turbulence, is analyzed.
Funding agency Grant number
Russian Science Foundation 17-01-00622
The work was supported by the Russian Science Foundation (grant 17-01-00622).
Received: August 31, 2020
Accepted: November 18, 2020
English version:
Physics–Uspekhi, 2022, Volume 65, Issue 2, Pages 189–208
DOI: https://doi.org/10.3367/UFNe.2020.11.038875
Bibliographic databases:
Document Type: Article
PACS: 47.10.-g, 47.27.-i, 47.32.-y
Language: Russian
Citation: D. S. Agafontsev, E. A. Kuznetsov, A. A. Mailybaev, E. V. Sereshchenko, “Compressible vortex structures and their role in the onset of hydrodynamic turbulence”, UFN, 192:2 (2022), 205–225; Phys. Usp., 65:2 (2022), 189–208
Citation in format AMSBIB
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\paper Compressible vortex structures and their role in the onset of hydrodynamic turbulence
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\vol 192
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\pages 205--225
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\crossref{https://doi.org/10.3367/UFNe.2020.11.038875}
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  • https://www.mathnet.ru/eng/ufn/v192/i2/p205
  • This publication is cited in the following 3 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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